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Conical Fourier-Borel transformations for harmonic functionals on the Lie ball

100%

Morimoto M., Fujita K.

Banach Center Publications

1996

tom 37

nr 1

95-113

Let L(z) be the Lie norm on $\tilde{𝔼} = ℂ^{n+1}$ and L*(z) the dual Lie norm. We denote by $𝓞_Δ(\tilde{B}(R))$ the space of complex harmonic functions on the open Lie ball $\tilde{B}(R)$ and by $Exp_Δ(\tilde{𝔼}; (A,L*))$ the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.

Analytic functionals on the sphere and their Fourier-Borel transformations

79%

Morimoto M.

Banach Center Publications

1983

tom 11

nr 1

223-250

Ograniczanie wyników

2 Banach Center Publications

2 Morimoto M.

1 Fujita K.

1 1996

1 1983

Wyniki wyszukiwania

Conical Fourier-Borel transformations for harmonic functionals on the Lie ball

Analytic functionals on the sphere and their Fourier-Borel transformations